Find the general solution of the differential equation $y^{\prime \prime}+5 y^{\prime}+6 y=0$.
A) $y=k_{1} e^{-5 x}+k_{2} e^{-x}$
B) $y=k_{1} e^{-3 x}+k_{2} e^{-2 x}$
C) $y=k_{1} e^{3 x}+k_{2} e^{2 x}$
D) $y=k_{1} e^{5 x}+k_{2} e^{x}$

Name: Find the general solution of the differential equation $y^{\prime \prime}+5 y^{\prime}+6 y=0$. A) $y=k_{1} e^{-5 x}+k_{2} e^{-x}$ B) $y=k_{1} e^{-3 x}+k_{2} e^{-2 x}$ C) $y=k_{1} e^{3 x}+k_{2} e^{2 x}$ D) $y=k_{1} e^{5 x}+k_{2} e^{x}$
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The Answer is B

Find the General Solution of the Differential Equation y′′+5y′+6y=0y^{\prime \prime}+5 y^{\prime}+6 y=0y′′+5y′+6y=0

Find the General Solution of the Differential Equation $y^{\prime \prime}+5 y^{\prime}+6 y=0$